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Finding the Fourth Proportional to 215,915.20, 323,815.20 and 75,659.20

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Solution

The fourth proportional to 215,915.20, 323,815.20 and 75,659.20 is: 113,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.20 : 323,815.20 = 75,659.20 : x
  2. Step 2: Convert to fraction form
    215,915.20/323,815.20 = 75,659.20/x
  3. Step 3: Cross multiply
    215,915.20x = 323,815.20 × 75,659.20
  4. Step 4: Simplify right side
    215,915.20x = 24,499,598,979.84
  5. Step 5: Solve for x
    x = 24,499,598,979.84/215,915.20
  6. Step 6: Final answer
    x = 113,468.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.